Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400ba |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-16800000000 = -1 · 211 · 3 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-6412] |
[a1,a2,a3,a4,a6] |
Generators |
[22:12:1] |
Generators of the group modulo torsion |
j |
-1250/21 |
j-invariant |
L |
5.0163207451903 |
L(r)(E,1)/r! |
Ω |
0.53035853894047 |
Real period |
R |
2.3645894130467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4200u1 33600fm1 25200ca1 8400g1 |
Quadratic twists by: -4 8 -3 5 |